Can someone give me a proper, coherent order in which I should play Metal Gear Solid games?

MGS1
MGS2
MGS3
MGS4
.
.
.
hope this helps

MGS3
Peace Walker
MGSV (GZ first, then TPP)
Metal Gear
Metal Gear 2
MGS
MGS2
MGS4
Rising.

I would say that the most logical way to play it would probably be in release order. While it's not the chronological order, it would be the order that the different concepts of the series are introduced and explained.

The chronological order, and yes, I looked it up, is:

1964: Metal Gear Solid 3: Snake Eater
1970: Metal Gear Solid: Portable Ops
1974: Metal Gear Solid: Peace Walker
1975: Metal Gear Solid: Ground Zeroes
1984: Metal Gear Solid 5: The Phantom Pain
1995: Metal Gear
1999: Metal Gear 2: Solid Snake
2005: Metal Gear Solid
2007 - 2009: Metal Gear Solid 2: Sons of Liberty
2014: Metal Gear Solid 4: Guns of the Patriots
2016 - 2018: Metal Gear Rising: Revengance

Playing them in chronological order isn't going to make things less confusing.

Play them in release order. You can ignore Portable Ops. The original Metal Gear 1 and 2 are important, but their stories are explained in MGS1.

MGS 1
MGS 2
MGS 3
MGS 4
MGS: Peace Walker
MG Rising
MGS 5

Metal gear 1
Metal gear 2
Metal Gear Solid
Metal Gear Solid 2
Metal Gear Solid 3
Metal Gear Solid: Peace Walker
Metal Gear Solid 4
Metal Gear Solid: Ground Zeroes
Metal Gear Solid V: The Phantom Pain

Order of release:
Metal Gear -> Metal Gear Solid -> MG Solid 2: Sons of liberty -> MG Solid 3: Snake Eater -> MG Solid: Peace Walker -> MG Solid 4: Guns of the Patriots -> Revengeance -> MG Solid 5: Phantom Pain. I don't know how many can be played on PC though.

Chronological Order is basically what the wiki says:

1964 – Snake Eater
1970 – Portable Ops
1974 – Peace Walker
1975 – Ground Zeroes
1984 – The Phantom Pain
1995 – Metal Gear
1999 – Metal Gear 2: Solid Snake
2005 – Metal Gear Solid (The Twin Snakes)
2007/09 – Sons of Liberty
2014 – Guns of the Patriots
2018 – Revengeance

You should play it in order of release, you will spoil the story and gameplay is vastly improved in the latter games.

Playing them in release order is much better, as you know what you need to know. Also the story is confusing anyway, so chronological order won't help

You should play in release order.

Metal Gear Solid
Metal Gear Solid 2
Metal Gear Solid 3
Metal Gear Solid 4
Metal Gear Solid - Peace Walker
Metal Gear Solid - Ground Zeroes
Metal Gear Solid - The Phantom Pain

They are not in chronological order, but you will understand it a lot better if you play in release order. There are a lot of references and twists that only works this way. Like in MGS2, when there's a plot device you may find stupid as hell but it is explained in MGS3 and everything kinda makes sense. It is a wonderful series.

If you are wondering, the chronological order is
MGS3 > MGSPW > MGSGZ > MGSTPP > MGS > MGS2 > MGS4

Also, there are other games like you said. They are not considered canon because they were not written by the series creator so they are not mandatory.
But they are VERY GOOD games and they don't contradict the main series, so you can play them like they are in fact canon.
That said:
Metal Gear Portable Ops is set between MGS3 and MGSPW.
Metal Gear Ghost Babel kinda happens between MGS1 and MGS2.
Metal Gear Rising is the last in chronological order. It tells the tale of what happened to Raiden after the series.

I have to tell you that there are 2 canon games that were released before everything.
Metal Gear (released in 1987) and Metal Gear 2 (1990). They are nice fun games, but are very very old. Even the creator has told us that we can skip them and we can understand the story just fine. In MGS1 we can even read the story of those games in a menu.

Finally, Metal Gear Acid and Acid 2 are PSP spin off games. They are turn based strategy games involving cards. And stealth. That's right! And everything works! The story is not canon but the game is very fun if that's your thing.

Sorry about my english and if you have any questions feel free to ask. This is my favorite series and I'm glad you are having fun.

• Metal Gear (You can Youtube this and MG2 if they are too old for you to enjoy.)
• Metal Gear 2: Solid Snake
• Metal Gear Solid
• Metal Gear Solid 2: Sons of Liberty
• Metal Gear Solid 3: Snake Eater
• Metal Gear Solid 4: Guns of the Patriots
• Metal Gear Solid: Peace Walker
• Metal Gear Solid V: Ground Zeroes
• Metal Gear Solid V: The Phantom Pain

Playing them any other way is not recommended and will not make you understand the story any better. Rising doesn't really have any relational link with the Solid saga other than Raiden himself and Portable Ops is confirmed not canon by Kojima. I recommend the Metal Gear Solid: The Legacy Collection for the PS3 and Xbox 360. It includes all Metal Gear Solid games (expect Ground Zeroes and The Phantom Pain), Peace Walker in HD, and the MSX Metal Gear games inside the Snake Eater Menu.